@article{6893,
  author = {R. Keppens},
  title = {Numerical magnetohydrodynamics},
  abstract = {The ideal MagnetoHydroDynamic (MHD) equations accurately describe the macroscopic dynamics of a perfectly conducting plasma. Adopting a continuum, single fluid description in terms of the plasma density rho, velocity v, thermal pressure p and magnetic field B, the ideal MHD system expresses conservation of mass, momentum, energy, and magnetic flux. This nonlinear, conservative system of 8 partial differential equations enriches the Euler equations governing the dynamics of a compressible gas with the dynamical influence - through the Lorentz force - and evolution - through the additional induction equation - of the magnetic field B. In multi-dimensional problems, the topological constraint expressed by the Maxwell equation del - B = 0, represents an additional complication for numerical MHD. Basic concepts of shock-capturing high-resolution schemes for computational MHD are presented, with an emphasis on how they cope with the thight physical demands resulting from nonlinearity, compressibility, conservation, and solenoidality.},
  year = {2008},
  journal = {Fusion Science and Technology},
  volume = {53},
  number = {2T},
  pages = {135-143},
  month = {Feb},
  isbn = {1536-1055},
  url = {<Go to ISI>://000253871700016 },
  note = {ISI Document Delivery No.: 272PMTimes Cited: 0Cited Reference Count: 12},
  language = {English},
}